In 1996, Greg Kuperberg constructed a twisted plug in order
to define flow compatible Dehn surgery. Using this method, he proved
that every 3-manifold with empty boundary possesses a smooth,
nonsingular, volume preserving flow with a discrete collection of
circular trajectories. The method of flow compatible Dehn surgery
will be described in this talk. We will present the following
generalization of the above theorem:
Theorem. Every 3-manifold with empty boundary possesses a smooth,
nonsingular, volume preserving flow with a discrete collection of
circular trajectories, and every trajectory bounded.
A trajectory is bounded if its closure is compact.